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Finding the Fourth Proportional to 476.82, 714.54 and 233.07

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Solution

The fourth proportional to 476.82, 714.54 and 233.07 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 714.54 = 233.07 : x
  2. Step 2: Convert to fraction form
    476.82/714.54 = 233.07/x
  3. Step 3: Cross multiply
    476.82x = 714.54 × 233.07
  4. Step 4: Simplify right side
    476.82x = 166,537.84
  5. Step 5: Solve for x
    x = 166,537.84/476.82
  6. Step 6: Final answer
    x = 349.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.